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Finding the Fourth Proportional to 33,538.69, 50,276.70 and 11,336.50

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Solution

The fourth proportional to 33,538.69, 50,276.70 and 11,336.50 is: 16,994.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,538.69 : 50,276.70 = 11,336.50 : x
  2. Step 2: Convert to fraction form
    33,538.69/50,276.70 = 11,336.50/x
  3. Step 3: Cross multiply
    33,538.69x = 50,276.70 × 11,336.50
  4. Step 4: Simplify right side
    33,538.69x = 569,961,809.55
  5. Step 5: Solve for x
    x = 569,961,809.55/33,538.69
  6. Step 6: Final answer
    x = 16,994.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.